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Finding the Fourth Proportional to 300,028.59, 413,327.61 and 209,219.49

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Solution

The fourth proportional to 300,028.59, 413,327.61 and 209,219.49 is: 288,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,028.59 : 413,327.61 = 209,219.49 : x
  2. Step 2: Convert to fraction form
    300,028.59/413,327.61 = 209,219.49/x
  3. Step 3: Cross multiply
    300,028.59x = 413,327.61 × 209,219.49
  4. Step 4: Simplify right side
    300,028.59x = 86,476,191,767.12
  5. Step 5: Solve for x
    x = 86,476,191,767.12/300,028.59
  6. Step 6: Final answer
    x = 288,226.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.